What's the first step in order to solve the exponential equation?
4-^5x = 21
Divide both sides by 21
O Convert the equation to a logarithm with a base of 21
O Divide both sides by 4
O Convert the equation to a logarithm with a base of 4
O The equation is already solved.

Answer: 2,1 & 2

Step-by-step explanation:

[tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)] = \frac{-1}{3}[/tex],  [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]

"A limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value."

We have Limit functions

[tex]\lim_{x \to c} f(x)[/tex] [tex]= \frac{1}{3}[/tex]

[tex]\lim_{x \to c} g(x)[/tex] = [tex]\frac{2}{3}[/tex]

(i) [tex]\lim_{x \to c} [3g(x)] = 3 \lim_{x \to c} [g(x)][/tex]

= [tex]3[/tex] × [tex]\frac{2}{3}[/tex]

= 2

(ii) [tex]\lim_{x \to c}[f(x)+g(x)][/tex]

= [tex]\lim_{x \to c} f(x)+ \lim_{x \to c} g(x)[/tex]

= [tex]\frac{1}{3}-\frac{2}{3}[/tex]

= [tex]\frac{1-2}{3}[/tex]

= [tex]\frac{-1}{3}[/tex]

(iii) [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ][/tex]

= [tex]\frac{\lim_{x \to c} f(x)}{\lim_{x \to c} g(x)}[/tex]

= [tex]\frac{\frac{1}{3} }{\frac{2}{3} }[/tex]

= [tex]\frac{1}{2}[/tex]

∴ [tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)][/tex] = [tex]\frac{-1}{3}[/tex] , [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]

Learn more about Limit and limit functions here

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Answer:

yes

Step-by-step explanation:

Answer:

25,200

Step-by-step explanation:

First, find what 1% equals. Divide the total amount of people by 100. 105,000 divided by 100 = 1050. Multiply this by 24, because:

If 1% = 1050

To get 24% you need to multiply 1% by 24. Whatever you do to o ne side you have to do to the other.

1050 * 24 = 25,200

Therefore, the answer is 25,200 people

Answer:

its usAlly 9-5

Step-by-step explanation:

Answer:

Not necessarily

Step-by-step explanation:

Not necessarily. Compromised accounts tend to happen for one of two reasons. The first is that the system detects and overdose of activity on your account meaning your are spamming likes, shares, etc on the account. The second is due to unauthorized access or suspicious activity. Both of these can either cause a temporary ban on your account that lasts for a 24 hours or a deactivation of the account. To reactivate your account you will need to login, and reactivate it in the settings, which may ask you to reset your login information.

Answer:

9 pi

Step-by-step explanation:

Answer:

28.274 cm^2 (remember units are important)

Step-by-step explanation:

The answer is the area of the cookie. The area of the cookie (neglecting its thickness) is:

A = pi(r^2)

here the radius is 1/2 the diameter of 6 cm:

A = 3.14159 * 3^2 or A = 3.14159* 9 = 28.274 cm^2

Answer:

Step-by-step explanation:

The histogram shows the distribution of the newly planted trees

The dataset is given as:

3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9

Sort the data elements

3.1, 3.2, 3.5, 3.7, 4.3, 4.8, 4.9, 5.3, 5.4, 5.5, 5.9, 6.2, 6.5, 6.8, 7.1

Calculate the range

Range = Highest - Least

This gives

Range = 7.1 - 3.1

Range = 4

Divide by 4 to calculate the class width

Width = 4/4

Width = 1

So, the classes and the frequencies are:

Class               Frequency

3.1 - 4.0              4

4.1 - 5.0              3

5.1 - 6.0             4

6.1 - 7.0              3

7.1 - 8.0              1

See attachment for the histogram

Read more about histograms at:

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Answer: use the link

Step-by-step explanation: sdghs/dt/776n.tvbusaa.;

Answer:

( 2 x + 1 ) ( 3 x + 2)

Step-by-step explanation:

srry, i could only do the first one-

Answer:

its 4

Step-by-step explanation:

Answer:

Luis would need to have a SAT score of 574.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Nicole's z-score:

ACT scores have a mean of about 21 with a standard deviation of about 5, which means that [tex]\mu = 21, \sigma = 5[/tex]

Nicole gets a score of 24, which means that [tex]X = 24[/tex]. Her z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 21}{5}[/tex]

[tex]Z = 0.6[/tex]

What score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?

Luis would have to get a score with a z-score of 0.6, that is, X when Z = 0.6.

SAT scores have a mean of about 508 with a standard deviation of about 110, which means that [tex]\mu = 508, \sigma = 110[/tex].

The score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.6 = \frac{X - 508}{110}[/tex]

[tex]X - 508 = 0.6*110[/tex]

[tex]X = 574[/tex]

Luis would need to have a SAT score of 574.

Answer:

1109.1cm³

Step-by-step explanation:

V

=

π

r

2

h

3

3.14 ×8.7² × 14/3

Answer:

3:7

Step-by-step explanation:

15-8=7 green skateboards

3:7

Answer:

2/7

Step-by-step explanation:

There are 14 fish and 4 of them are small, red ones.

P(small red fish) = 4/14 = 2/7

Answer:

Option 4

Step-by-step explanation:

Given function is,

[tex]f(x)=2\frac{1}{2}-3\frac{1}{3}x[/tex]

Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

[tex]y=2\frac{1}{2}-3\frac{1}{3}x[/tex]

Step 2,

Interchange the variables 'x' and 'y',

[tex]x=2\frac{1}{2}-3\frac{1}{3}y[/tex]

Step 3,

Solve the equation for the value of y,

[tex]x-2\frac{1}{2}=-3\frac{1}{3}y[/tex]

[tex]x-\frac{5}{2}=-\frac{10}{3}y[/tex]

[tex]-x+\frac{5}{2}=\frac{10}{3}y[/tex]

[tex]-3x+\frac{15}{2}=10y[/tex]

[tex]-\frac{3}{10}x+\frac{15}{20}=y[/tex]

[tex]y=-\frac{3}{10}x+\frac{3}{4}[/tex]

Step 4,

Convert the equation into inverse function,

[tex]f^{-1}x=-\frac{3}{10}x+\frac{3}{4}[/tex]

For x-intercepts,

Substitute y = 0,

[tex]0=-\frac{3}{10}x+\frac{3}{4}[/tex]

[tex]\frac{3}{10}x=\frac{3}{4}[/tex]

[tex]x=\frac{10}{4}[/tex]

[tex]x=\frac{5}{2}[/tex]

[tex]x=2\frac{1}{2}[/tex]

Therefore, x-intercept of the inverse function is [tex](2\frac{1}{2},0)[/tex].

Option 4 will be the answer.

Answer:

Step-by-step explanation:

What's a squirt? Did you mean sport for the word for?

So there are 15 separate students in all who play a sport and an instrument. There are 4 more that play an instrument, but not a sport.

There are 8 that that do not play an instrument including 2 that don't do either.

So the total is 15 + 4 + 8 = 27

My best guess is that 15 out of 27

P(sport and instrument) = 15 /27  = 5/9 or 0.556

Answer:

the answer is b. the segment has a length of 8 units vertical.

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

answer:

15

step-by-step explanation:

9, 10, 15, 17, 15, 14, 37, 45, 42, 13

Answer:

D) Consistent and Independent

Answer:

D.consistent and independent

Answer:

False

x=8-10=-2

Step-by-step explanation:

[tex]10 = x - 8 \\ ➡ \: x = 10 + 8 \\ ➡ \: x = 18[/tex]

[tex]\sf\red{The\:value\:of\:x\:is\:18.\:}[/tex]

[tex]\sf\pink{Hence,\:it\:is\:false.}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Me either ive been stuck on a question and no one will help me

Answer:

me three

Step-by-step explanation:

you guys are awesome

Answer. i cant answer this without a pic of the slope

Step-by-step explanation:

.........................................

Answer:

221mile per day

Step-by-step explanation:

Mean=total distance her car traveled/days

11477-10150=1327

1327/6=221.167≈221mi

Answer:

y = –5x + 5

Step-by-step explanation:

Answer:

b, c , a

Step-by-step explanation:

I am guessing

Answer:

B, C, D

Step-by-step explanation: